Recently, the shift and difference analogue of the Navanlinna theory has been established (see, e.g. [1]}, [2]}, [3]}). Many researchers started to consider the uniqueness of meromorphic functions sharing values with their shifts or differences operators (see, e.g. [4]}, [5]}, [6]}, [7]}.) In 2010, Zhang [8]} considered a meromorphic function \(f(z)\)  sharing sets with its shift \(f(z+p)\)  and obtained the following result.
